Conference on Derived Algebraic Geometry

派生代数几何会议

• 批准号: 1700795
• 负责人: Paul Goerss
• 金额: $ 2万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-03-01 至 2018-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1700795&HistoricalAwards=false
• 关键词: Conference; Derived; Algebraic; Geometry

This project supports the participation of early-career US mathematicians in the Conference on Invertibility and Duality in Derived Algebraic Geometry and Homotopy Theory, which will be held April 3-7, 2017 at the University of Regensburg, Germany. Derived algebraic geometry is an increasingly active mathematical area that combines approaches from a number of established fields (including algebraic geometry, topology, and mathematical physics), and the conference location is a major center for work in this subject. Funds will support the travel and local expenses of junior researchers; accordingly, the direct impact will be the training and career development of 10 or more early-career US mathematicians, who will gain the opportunity to participate in a workshop in this subject, communicate their research results, and further develop collaborations with emerging research groups in Europe. Conference speakers and participants from outside of the United States will be supported by the German national research foundation (DFG) through the grants SFB-1085 and SPP-1786.In the past fifteen years, we have seen the rapid development of the field of derived algebraic geometry. Because it draws threads and inspiration from algebraic topology, algebraic geometry, algebraic K-theory, and even mathematical physics, this field has attracted a large number of early-career researchers. This conference will bring together international experts from algebraic topology, homotopy theory, derived algebraic geometry, and related areas, and the focus of the conference will be current work and emerging ideas in the field, using the existence and applications of dualities as a theme. Throughout algebraic topology and algebraic geometry, the existence of a theory of duality reveals deep structure about the objects under study. Basic examples include Poincare duality for manifolds or Serre duality for varieties, but these are expressions of much more general phenomena best studied in the derived setting. There has been significant recent progress in derived algebraic geometry, in both theory and computations. It is the aim of this conference both to consolidate these advances and to promote new research directions.Conference webpage:http://www-cgi.uni-regensburg.de/Fakultaeten/MAT/sfb-higher-invariants/index.php/SpringSchool2017

该项目支持美国早期数学家参加将于2017年4月3日至7日在德国雷根斯堡大学举行的派生代数几何和同伦理论中的可逆性和对偶性会议。派生代数几何是一个日益活跃的数学领域，它结合了许多已建立的领域(包括代数几何、拓扑学和数学物理)的方法，而会议地点是该学科工作的主要中心。基金将支持初级研究人员的旅费和当地费用；因此，直接影响将是10名或更多职业生涯早期的美国数学家的培训和职业发展，他们将有机会参加这个主题的研讨会，交流他们的研究成果，并进一步发展与欧洲新兴研究小组的合作。来自美国以外的会议发言人和与会者将得到德国国家研究基金会(DFG)通过SFB-1085和SPP-1786的资助。在过去的15年里，我们看到了派生代数几何领域的快速发展。由于它从代数拓扑、代数几何、代数K理论甚至数学物理中汲取线索和灵感，这个领域吸引了大量职业生涯早期的研究人员。这次会议将汇集来自代数拓扑学、同伦理论、衍生代数几何及其相关领域的国际专家，会议的焦点将是该领域的当前工作和新兴思想，以对偶的存在和应用为主题。在整个代数拓扑学和代数几何中，对偶理论的存在揭示了所研究对象的深层结构。基本的例子包括流形的Poincare对偶或变种的Serre对偶，但这些都是更一般的现象的表达，最好在派生的背景下进行研究。派生代数几何在理论和计算方面都取得了重大进展。这次会议的目的既是巩固这些进展，又是促进新的研究方向。Conference webpage:http://www-cgi.uni-regensburg.de/Fakultaeten/MAT/sfb-higher-invariants/index.php/SpringSchool2017